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gptkbp:instanceOf
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gptkb:mathematical_concept
|
|
gptkbp:appliesTo
|
discrete-time signals
|
|
gptkbp:continuousVariable
|
ω (omega)
|
|
gptkbp:discretizedVersion
|
gptkb:DFT
|
|
gptkbp:domain
|
frequency domain
|
|
gptkbp:field
|
gptkb:signal_processing
applied mathematics
electrical engineering
|
|
gptkbp:form
|
X(e^{jω}) = Σ_{n=-∞}^{∞} x[n] e^{-jωn}
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gptkbp:hasUnit
|
radians/sample
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
DTFT
|
|
gptkbp:input
|
discrete-time signal
|
|
gptkbp:inverseTransform
|
Inverse DTFT
|
|
gptkbp:limitation
|
applies to infinite-length signals
|
|
gptkbp:mapType
|
discrete-time signal to frequency domain
|
|
gptkbp:output
|
continuous periodic function
|
|
gptkbp:property
|
gptkb:Parseval's_theorem
linearity
convolution
frequency-shifting
time-shifting
symmetry properties
|
|
gptkbp:recurrence
|
2π
|
|
gptkbp:relatedTo
|
gptkb:Fourier_Transform
gptkb:Z-transform
gptkb:DFT
LTI systems
|
|
gptkbp:standsFor
|
Discrete-Time Fourier Transform
|
|
gptkbp:usedFor
|
filter design
frequency analysis
system analysis
|
|
gptkbp:bfsParent
|
gptkb:discrete-time_Fourier_transform
|
|
gptkbp:bfsLayer
|
6
|